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06 July 2020
  » arxiv » 1202.1410

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Generalized continuum models for analysis of one-dimensional shear deformations in a structural interface with micro-rotations
Aleksey A. Vasiliev ; Andrey E. Miroshnichenko ; Sergey V. Dmitriev ;
Date 7 Feb 2012
AbstractGeneralized continuum models of a Cosserat lattice are considered and their applications to modeling of harmonic and localized static and dynamic shear deformations in an interface are discussed. Single-field conventional and gradient micropolar models are compared to the two-field long-wavelength micropolar model and its gradient and four-field generalizations. The single-field models can be applied to the analysis of long-wavelength deformations. It is demonstrated that the multi-field models may be used to describe both long-wavelength and short-wavelength harmonic waves and localized deformations. Taking into account both long- and short-wavelength deformations is im- portant for describing the filtering properties of structural solids and boundary effects. The reported results are important for modeling of structural interfaces because the length of localization in this case is often comparable with the interface thickness.
Source arXiv, 1202.1410
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